12960064 has 56 divisors (see below), whose sum is σ = 28512008. Its totient is φ = 5806080.

The previous prime is 12960061. The next prime is 12960067. The reversal of 12960064 is 46006921.

It is an interprime number because it is at equal distance from previous prime (12960061) and next prime (12960067).

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 12902464 = 240^2 + 3592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12960061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30574 + ... + 30994.

It is an arithmetic number, because the mean of its divisors is an integer number (509143).

Almost surely, 2^12960064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256004).

12960064 is an abundant number, since it is smaller than the sum of its proper divisors (15551944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12960064 is a wasteful number, since it uses less digits than its factorization.

12960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12960064 is about 3600.0088888779. The cubic root of 12960064 is about 234.8924451231.

Adding to 12960064 its reverse (46006921), we get a palindrome (58966985).

It can be divided in two parts, 129600 and 64, that multiplied together give a square (8294400 = 2880²).

The spelling of 12960064 in words is "twelve million, nine hundred sixty thousand, sixty-four".